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Finding the Third Proportional to 49,291 and 108,422

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Solution

The third proportional to 49,291 and 108,422 is: 238,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,291 : 108,422 = 108,422 : x
  2. Step 2: Convert to fraction form
    49,291/108,422 = 108,422/x
  3. Step 3: Cross multiply
    49,291x = 108,422 × 108,422
  4. Step 4: Simplify right side
    49,291x = 11,755,330,084
  5. Step 5: Solve for x
    x = 11,755,330,084/49,291
  6. Step 6: Final answer
    x = 238,488.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.